Theorems · Theorem · logic and foundations
FirstOrder.Language.Hom.id_apply
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] (x : M), (FirstOrder.Language.Hom.id L M) x = x- Defined in
- Mathlib.ModelTheory.Basic
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- Foundations
- Depth 14 from the axioms · uses no axioms
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Homstatement · cited by 107
- FirstOrder.Language.Hom.idstatement · cited by 10
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